A Guide to the I. J. Schoenberg Papers,
19001993





Creator 
Schoenberg, I.
J. 

Title 
I. J. Schoenberg
Papers 

Dates: 
19001993 

Abstract 
Consists of
correspondence, manuscripts of published and unpublished papers and lectures,
research notes, teaching materials, and photographs documenting the career of mathematician
Isaac Jacob Schoenberg. 

Accession No. 
913 

Extent 
26 ft. 

Language 
Materials are written in English,
Russian, French, Dutch, German,
and Romanian. 

Repository: 
Dolph Briscoe Center for American
History, The University of Texas at
Austin 
Isaac "Iso" Jacob Schoenberg (19031990) was born in Galatz, Romania,
and received his Ph.D. from the University of Jassy [Iasi] in Moldavia in 1926.
He came to the United States in 1930 on a Rockefeller fellowship where he
served as a postdoctoral fellow at the University of Chicago and Harvard
University. In 1933 he became a member of the Institute for Advanced Study at
Princeton (19331935). His major mathematical teaching posts were at the
University of Pennsylvania (19411966) and the University of WisconsinMadison
(19661973). He was released from work at the University of Pennsylvania from
19431945 to work at the Army's Ballistic Research Laboratory in Aberdeen,
Maryland, where he began his work on the theory of splines. Other research
interests of Schoenberg include Pólya frequency functions and cardinal
splines.
Consists of correspondence, manuscripts of published and unpublished
papers, lectures, research notes, and teaching materials documenting the career
of mathematician Isaac Jacob Schoenberg. The collection includes correspondence
with a number of notable mathematicians, including Edmund Landau, J.R. Kline,
Paul Erdös, and George Pólya. There are also materials documenting Schoenberg’s
personal and family life, most notably correspondence showing Schoenberg’s
attempts to help family and friends immigrate to Israel and the United States
prior to the outbreak of World War II. Mathematical subject matter includes
research notes, lectures, drafts on analysis, approximation theory, and
splines.
Forms part of the Archives of American Mathematics.
Access Restrictions
Unrestricted access.
Use Restrictions
The majority of this collection is stored remotely at CDL. Advance notice
required for retrieval. Please contact reference staff for retrieval.







Subjects (Persons) 


Erdös, Paul, 19131996 


Landau, Edmund, 18771939 


Pólya, George, 18771985 


Schoenberg, I. J.  Archives 

Subjects (Organizations) 


Institute for Advanced Study
(Princeton, N. J.) 


University of Pennsylvania. Dept. of
Mathematics 


University of WisconsinMadison.
Mathematics Dept. 

Subjects 


Approximation theory 


Mathematical analysis 


Mathematics  Study and teaching 
United States 


Spline theory 
I. J. Schoenberg Papers, 19001993, Archives of American Mathematics,
Dolph Briscoe Center for American History, The University of Texas at Austin
Detailed Description of the Collection















Series I. Personal 



Correspondence 
Box 
913/1 



Family correspondence, 19341972 




Publicity, 19381962 




"Mother's immigration," 1941 




"Letters  Dolly," 19501969 




Affidavit of support, 19531954 



Family history 




Poems and a biographical sketch of Schoenberg's
mother, 19171974 




Charlotte Landau  diploma, 1927 



Student notebooks 




Tesâ la matematicâ,
19131914 




Gaiet de Matematici, 19191920 
Göttingen  Summersemester, 1925. 19191927 
Box 
913/2 



Vorlesungen über die Theorie der
Trigonometrischen Reihen, Prof. Edmund Landaû, 19221923 




Vorlesungen über Zahlentheorie 
Professor Schûr, 19231924 




Gaiet le matematici [?],
1924 




Vorlesungen über Periodische und
Fastperiodische Funktionen von Prof. Harald Bohr, Göttingen,
19281929 




Vorlesungen über Zahlentheorie 
Professor Schûr [?], Analizâ matematicâ, 19291933 




Vorlesungen über Zahlentheorie 
Professor Schûr [?], undated 
Box 
4RM55c 


Diploma  Sigma Xi, 1931 
Box 
913/2 


Financial statements and receipts 




19481960 




19641986 



Legal documents, 19761983 
Box 
913/3 


Artwork 




The problem of k=2, n=4, 1982 




Constructive art, undated 




Outdoor sculpture, 1983 















Series II. Professional 
box 
913/3 


Correspondence 




By correspondent 





A 





BBr 





BroBy 





C 
Box 
913/4 




D 





E 





F 





GaGo 





GoGu 





HHa 
Box 
913/5 




HaiHu 





I 





IYuan, Houng 
Box 
4RM55c 




Oversized computer printouts, undated 
Box 
913.5 




K 





L 





MN 





OPh 





PiPu 
Box 
913/6 




R 





SaSh 





ShoSz 





Schoenberg, I. J. 






19331980 






19801988 
Box 
913/7 




TU 





V 





W 





YZ 





Unidentified correspondents 





Duetsch Leon [oversized letter] 
Box 
913/7 



By subject 





LandauBlichfeldt, 19291931 





Opere, 19321940 





Letters on Colby College and return to Penn,
19371940, 1945 





Maine meeting, 19381939 
Box 
913/8 




Armour, 1940 





Referee report, 19401942 





Philadelphia, 1941 





Reprint requests, 19461947 





Abian, 19591962 





Number Theory Institute, 19611962 





Princeton, 19631964 





Wolfe, Dorothy, 1964 





Linkages and geometry, 1968 





Madison Jewish Welfare Council, 19701972 





Northwestern University Regional Conference,
19701971 





W. Weston Meyer, 19721983 





May 5th, 1973 [Schoenberg's 70th birthday and
retirement party], 1973 





Seng, Lee 1974 





Pittsburgh, 19741977 





On trip, 19741975 
Box 
913/9 




Journal submissions, 1975 





Warsaw, 1975 





Ford awards, 1976 





Instituto  Roma,
19761977 





Conferences, 19761977 





West Point, 19781982 





Bsplines, 1979 





StirlingSchellenbach paper, 19811982 





Utah, 19811982 





Book sale, 19811987 





Book translation [Haimovici], 1982 





SchoenbergSelecta,
19831987 





Landau books, 1986 





FrobeniusLandau correspondence [photocopies],
undated 
Box 
4RM55c 




Oversized correspondence, 1908, undated 





Landau C.V., 1901 
Box 
913/9 



Research files 





[Archivist's note: arrangement is based upon
Schoenberg's original organization] 





Notebooks 






Theory of functions, Analizâ
mathematicâ, undated 
Box 
913/10 




Numerical tables, circa 1940s 





Numerical tables from n_{4}(t) = ∞ ∫ ∞ e^(x^4) cos (tx) dx, circa 1940s 





Integration of system, circa 1940s 





Contribution to the problem of approximation if
equidistant data, 1946 





Leasts squares theory, 1944 





Air [?] tables, circa 1940s 





Reading AppellLaceur  Chapter 2, undated 





Untitled notes, 1949 





Contributions to the problem of approximation of
equidistant data by analytic functions, 1946 





Catalog of punch card tables of mathematical
functions, 1945 





Untitled notes, circa 1940s 





Irrationality of e E_{o}, 1943 





Newton square law theory, undated 
Box 
913/11 




Ballistics of Newton square law of resistance,
undated 





On the computation of the value of series,
undated 





Numerical interpolations, 19401941 





∑ OP_{i} = minimum  Chicago, 1932 





Assorted notes, 19311932, undated 





Assorted notes, 1950 





"Odd notes," 19321934 





Paper on the Karl [?], 1956 





Isoperimetric inequalities revival, 1954 





Ptolemy's inequalities, Hyperconvex functions,
1939 
Box 
913/12 




Least squares theory, undated 





Reviews, undated 





Extensions of theorems of Descartes and Laguerre to
the complex domains, 1934 





Assorted notes, undated 





A theorem on FourierStieltjes integrals,
1934 





Assorted notes, 1932 





Notes and drafts, 1935 





Moultonboro  Princeton, 1937 





Assorted notes, 1933 





Convex curves, 1954 





Assorted notes, 






1952 






19361937 
Box 
913/13 





circa 1936 






1946 






undated 





Laplace formula in probability of distribution of
error, undated 





On absolutely convex functions, undated 





Solving linear equations by relaxation, undated 





Distribution of arithmetic functions, 19321936 





Assorted notes, undated 





Assorted notes, 






19461947 






1947, undated 






1948 





HAAR problems in the complex field, 1954 
Box 
4RM55c 




Oversized geometric constructions, circa 1954 
Box 
913/13 




Generalized spline functions (Alhberg and Nilson),
1947 
Box 
913/14 




Differential equations and splines, undated 





Assorted notes, 1956, undated 





Notes on continual mapping, undated 





Pompeii Theorem [?], undated 





Assorted notes, 1954, undated 





Assorted notes and tables, undated 





Assorted notes, 1952 





Limits of spline distribution, 1946 





On CVD kernals, 1956 





On multiply monotone functions and their Laplace
transforms, 1954 





Lineal functions, 1951, undated 





Assorted notes, 1958 
Box 
913/15 




Higher order iterates of the smoothing function
[includes some correspondence], 19451947 





Linear operators vanishing for a certain degree
polynomial, 19381953 





Smoothing operations and differential equations,
1954 





CVD, 1954, undated 





Totally positive functions, 1946 





On Runge's example of polynomial interpolation,
circa 1930s 





Assorted notes, 1938 





Inverses [?] of g(x)= ∞ ∫ ∞ (xt) f(t) dt,
19461948 





Assorted notes, 1946 





Screw lines in Hilbert space, 19361938 





On roots of cubii, 19381941 





Attempt at old Pólya conjecture, 1934 [?], 19381939 





Assorted notes, 19361937 





Assorted notes, undated 
Box 
913/16 




Notes on metric spaces and completely monotone
functions, 19371938 





Fallout from "Planck" problem, 1942 





On Rolle's theorem for continuous
(nondifferentiable) functions, undated 





Assorted notes, 1942, undated 





Contributions to the theory of series ∑+/ CV,
1938 





On Fourier integrals and metric geometry,
1936 





Centroids with imaginary masses, 1939 





Assorted notes, 






19371941 






Undated 





Polyhedra and quadratic forms, 1946 





On metric spaces of constant local Euclidean
dimension, 1939 
Box 
913/17 




∫∫ f(x) ^2dx dy < [?], 1971 





Convexity preserving convolutions, 19591976 





Approximations of lineal polynomials (Motzkin),
19511955 





Extremum problems: variations; Bernstein's inequality, 1976 





Masses in H, 1955 





On unitary transformation and screw lines,
1956 





Differential equations, 19481951 





Assorted notes, 1951 





Relaxation, 1951, undated 
Box 
913/18 




Qcardinal interpolation, 19741980 





Assorted notes, 19521955 





Notes on convex domains, 19331947 





Quadrature formula obtained by partial integration,
1945, undated 





Quadrature formula and spline interpolation,
1957, undated 





Approximations, undated 





Deriving quadrature from Sterling interpolation,
1944 





Mechanical quadratures, undated 





Spline quadratures, 1957, undated 





Metric spaces, 19281940 
Box 
913/19 




Hyperconvexity, 19391940 





Menger's theorems, 1938 





Assorted notes, 1957 





Mapping, 1960 





"Mixed notes having to do with a,b = ½,"
1962 





Assorted notes, 1955 





Theory of Approximations, 1950 





Problems on f (x) = x1 ∫ x dx x1 ∫ x2 x1 ∫ x1 dx,
undated 





Strengthening of GaussLucas, 1941 





Assorted notes, undated 





[?] Theorem and related problems, undated 
Box 
913/20 




Zeroes of multiple positive segments, 1954 





Frejér problems, 1956 





Convexity preserving kernals, 1936, undated 





New proof for Marihhaber [?] theorem, 1960 





On a Pólya conjecture on f (x) = ∑ u=0, f^(u) (y _{(u)}), 1941 





P.d. functions on spheres with variable radii,
19381940 





Bernoulli problems, undated 





D {sin S2}, 19391941 





An attempt at improving the DenjoyCarleman theorem,
19411942 





Connected with [?] by splines, undated 





Upper periodic functions, 19381939 





Hungarian problems, undated 
Box 
4RM55c 




Oversized tables and graphs, undated 
Box 
913/20 




Erdös conjecture, 1957 





Polish problems, 1946, undated 





Additive integral functions, 19551958 





Monthly paper on f (x) = 0, if x is irrational, q if
x = k/q, 19561958 





Menger curvature problems, 19541955 
Box 
913/21 




Assorted notes, 1955 





Theory of Approximations, 1959 





StirlingSchellenbach interpolations, 1943, undated 





On zeroes of polynomials with ktimes positive
coefficients, 19531954 





Assorted notes, 1963 





Notes for SterlingRomberg, 1980, undated 





Assorted notes, undated 





The SterlingSchellenbach series transformation,
1961 





Important notes for SterlingSchellenbach,
undated 





Notes on the SterlingSchellenbach method,
1943, undated 
Box 
913/22 




Jackson constant in best approximation theory,
19531954 





SterlingSchellenbach, 19441967 





Optimal quadratures, 19691985 





Assorted notes, 1957 





Gauss computataions, 1977 





Papers on Laplace transformations, 1950 





Assorted notes, 






1951, undated 






19461958 






1951 






1973, undated 





Cyclic variations, 19481950 
Box 
913/23 




Twodimensional chromos, 1978 





Besicovitch constant B_{n}, 19621983 





Netanyahu's problem, 19691985 





Remarks to a paper by P. Bateman, 1962 





Galatea, 1970 





Continuous continued functions, 1959 





Convex functions, 1941 





Solving linear equations, 1952 





Absolutely convex function, 1942 





(N+1) times monotone functions, 1941 





Rational C.M. functions, 1941 





An application of Schwartz's lemma, 1942 





Bieberbach nonsense, 1941 





Assorted notes, 






Undated 






1947 





Real variables, 1956 





The Haar problem, undated 





Screw lines in H, 1954 





Problem, 19381940 





Functions on spheres, 19381940 





Real and complex [?], 1960 





Assorted notes, 1960, undated 





The Haar papers, 1957 





Laplace transforms, 19391948 





Totally positive symmetric matrices: a
generalization of the Stieltjes problem, 1956 





Operation "Sea Serpent" [I], 1956 





Operation "Sea Serpent" [II], 19331954 





L'Affaire Sigeiti
Moriguti, 19541956 





Big cube problem, 19611976 
Box 
4RM55c 




Geometric constructions, undated 
Box 
913/24 




Conditionally convergent series of analytic [?],
1960 





Zentralblatt,
19361937 
Box 
913/25 




Runcheweyh letter, 1983 





Notebook, undated 





Tables for equidistant spline interpolation,
19661971 





Bivariate interpolation, 1972 





Octahedron in E_{4}, 1969 





The Blumenthal theorem, 1970 





The fundamental functions for cardinal spline
interpolation for the degrees n=2, 3, 4, 5, 1971 





A small tract on cubic spline interpolation,
19701971 





The technique of equidistant spline interpolation,
19701971 





Assorted notes, 1953 





Navy reports, 19491951 





Bilharz – Steffensen –Thiboux – Haar, 19541955 





Chromos problem, 1974 





Splines, 19711972 
Box 
913/26 




Study of class P_{2}, 1965 





Simply connected sets of lines of 0 < mS < ∞,
undated 





Assorted notes, 1949 





The discrete problem, 1947 





On totally positive distribution functions,
19461947 





Assorted notes, 19491951 





Nchrome, 1962, undated 





Pisot paper—notes, 1963 
Box 
4RM55c 




Oversized notes, undated 
Box 
913/26 




Color problem, 19621974 
Box 
913/27 




Hilbert transform, 19731976 





Circle splines I, 1975, undated 





Circle splines II, 1976 





A new Insterman [?] problem, 1954 





Assorted notes, undated 





Dahmer [?], 1981 





Several variables, 1959, undated 





Assorted notes III, 19511960, undated 
Box 
913/28 




Le StangNaarden, 19561957 





Assorted notes, 19461961 





Unclassified problems, 19541965 





Assorted notes, 1986 





Slide rule, mod 100, 19711986 





Final report on the project no. N6 onr24912,
undated 





On variationdiminishing transformations,
1948 and undated 





Assorted notes, 1948, undated 
Box 
913/29 




Assorted notes, 1980, undated 





Bernie extensions, 1967 





Reprints for Sterling—Schellenbach, 19621980 





Assorted notes, undated 





Averages, undated 
Box 
4RM55c 




Gauss computations—UNIVAC printouts, 1977 



Writings 




Drafts 
Box 
913/29 




“Davy Jones’ Locker”—unpublished writings,
1932, undated 
Box 
4RM55c 




Galley proof, “A Remark on the preceding note by
Bochner,” circa 1934 
Box 
913/29 




Geodesic triangles, 1934 





Favard, 19371971 





Local convexity in Euclidean spaces, 1937 





Finished papers, 19381946 
Box 
913/30 




Review of Mathematical Snapshots, 1939 
Box 
4RM55c 




Oversized galley proofs, undated 
Box 
913/30 




Runge paper, 19431962 





An iteration method for computation with Laurent
series, 1945 





A theorem on polygons in n dimensions with
applications to variationdiminishing and cyclic variation diminishing linear
transformations, 19451947 





Assorted notes, 19461979 





Manuscript on totally positive functions,
1946 





On Pólya frequency functions III: the positivity of
a class of determinants and applications, 19471952 





On spline distributions and their limits: The Pólya
distribution functions, 19471948 





Helly’s theorem of convex domains, 1948 
Box 
913/31 




Navy reports, 19481950 





Iterates of cyclic transformations, 19481949 





On the positivity of translation determinants for
Pólya frequency with an application to the interpolation problem by spline
curves, 1949 





Isoperimetric inequalities, 1951 





Memorial to John Robert Kline, circa 1955 





Some extremal problems for positive definite
sequences and related extremal convex conformal maps of the circle,
1957 





On variation diminishing transformations on the
circle, 19571959 





Some polynomial extremal problems and mechanical
quadratures, 1958 





On the variation of diminishing approximation
methods, 1958 





Some polynomial extremal problems and mechanical
quadratures, 1958 





A new explicit V.D. approximations, 19591982 





Rising curves of vanishing slopes, 19581959 





An extremum problem for polynomials, 1959 
Box 
913/32 




Lattice points— Columbia, 1960 





On the unicity of solutions of problems of best
approximation, 1960 





Kakeya’s problem, 19611973 





Pisot paper, circa 19611962 





Pisot paper, 1963 





Irregularities of billiard ball motions,
19631974 





Amsterdam paper, 1965, undated 





Spline functions and variation diminishing
approximation methods, 19651966 
Box 
913/33 




Hermite interpolation, 19671985 





Totally positive functions, Edmonston, Alberta,
1968 





Does Blumenthal’s theorem generalize?, 1969 





Favard—Pittsburgh, 1970 





Interpolating splines as limits of polynomials,
19701983 





Two applications of approximate differentiation
formulae, 19701982 





Approximating lengths, areas, and volumes,
19701978 





Metric geometry—Askey conjecture, 1971 





Splines and histograms, 19711972 





Pick in R_{3}, 1972 





Hausdorff moment problem solved in L2, 19721973 





Notes on spline functions II. On the smoothing of
histograms, 1972 





Splines and the logarithmic function, 19741975 





On Charles Micchelli’s theory of cardinal Lsplines,
1974, undated 





Bryn Mawr, 19741975 





On Chebyshev and Markovtype problems for
polynomials in a circular ring, 19751977 
Box 
913/34 




The Landau problem for motions in a ring,
1975 





Rome paper, 19761977 





Cardinal smoothing splines, 1976 





Lexington conference, 1976 





The Landau problem for motions on a curve,
1976 





On the matrix approach to the Fibonacci numbers an
the Fibonacci pseudoprimes, 19761981 
Box 
4RM55c 




Oversized numerical tables, undated 
Box 
913/34 




On a problem of Steinhaus on lattice points,
19771978 





Stella octangula, 19781981 





Extremum problems for the motions of a billiard
ball, 1978 
Box 
913/35 




Nchromos [?] in R^k, 1978 





The finite Fourier series II. The graphical harmonic
analysis of skew polygons as a source of outdoor sculptures, 19791983 





Computation of finite Landau [?] motion in the
parabola y= ½ x^2, 1980 
Box 
4RM55c 




Oversized computer printouts, 1980 
Box 
913/35 




The Landau problem for motions on curves and time
optimal control problems, 1980 





Mathematical Time
Exposures, 19801984 





A direct derivation of Jacobian identity from an
elliptic functions, 19801981 





Hausdorff’s moment problem and expansions in
Legendre polynomials, 1980 





The Landau problem III, 1980 





On polynomial interpolation at the points of a
geometric progression, 19801981 
Box 
4RM55c 




Oversized computer printouts, 1980 
Box 
913/35 




A new approach to Euler splines, 19811993 
Box 
913/36 




Highorder continuity implies good approximation
solutions of certain functional equations I, 19821985 





The paper on R4, 1982 





The behavior of the exponential Euler spline Sn (x;
t) as n ∞ negative values for base t, 1982 





On the equidecomposibility of a regular triangle and
a square of equal areas, 19831985 





A direct approach to the Villaceau circles of a
torus, 1983 





Euler’s contribution to cardinal spline
interpolation: the exponented Euler spline, 1983 





On the GaussLucas radius of a polynomial,
19841985 





On the anticylinder, 1985 





On the Turning Lozange of constant side whose
vertices alternate between two circles of a ring, 1985 





Miscellanea. Music and science, 1985 





A proof of Grace’s theorem by induction,
1985 





The Chinese remainder problem and polynomial
interpolation, 1986 





Final paper for StirlingSchellenbach, undated 





Extremum problems for the multidimensional case of
König and Szücs of billiard ball motions, undated 
Box 
913/37 




A conjectured analogue of Rolle’s theorem for
polynomials with real or complex coefficients, undated 





Notes on spline functions, undated 





On the anticylinder, undated 





Monosplines and quadrature formulae, undated 





Splines and histograms, undated 
Box 
4RM55c 




The π o approximation for Bulgarian mothers,
undated 
Box 
913/37 




The Landau problem for the differential operator D^2
– X^2, undated 




Monthly problems 





American Mathematical
Monthly problems 






19601964 






19761981 





Assorted 






19671975 






19671984 






19741981 






19751981 






19811982 
Box 
913/38 




Calgary, Edmonton, 19671975 





Are there reciprocal orthogonal polynomials,
1970 1982 





A problem from F. Richards, 19731983 





Advanced problems for AMM, 19791984 





A new problem for “Nieum archief voor Wiskunde,”
19801981 





A problem for new Eindhoven, 1981 





Problem E 3005, 1983 





The GrahamKnuth problem, 1983 





The Tsintifas problem, 1983 





Problems on Appell sequences, 19841985 





Problems from proseminar, 1985 





Problem 6488, undated 





Reprints 






19391976 






19801986 



Teaching notes 




Tdeterminants and combinatorial analysis,
19341946 
Box 
913/39 



Courant problems, 19341936 




Problem seminar, 19351939 




Math 601, 19381957 




Nontechnical mathematics, 19391942 




Honors exams, 19391949 




Number theory, Colby College, circa 1930s 
Box 
4RM201 



NonTech Math 1a [restricted], 19391940 
Box 
913/39 



Courant problems, 1940, undated 




Complex variables, 1941 




Problems for seminar, 19411947 




Theory of functions, 19411942 
Box 
913/40 



Complex variables, 1942 




Special topics, 19421945, undated 




Special topics in the theory of functions,
19421943 




Proseminar 





1942 





19421943 





1946 





19461947 





19461947 




Theory of functions, 19461947 




Theory of functions, 19461947 
Box 
913/41 



Math 600, 19461948 
Box 
4RM201 



Math 630 Theory of Functions [restricted], 19461947 
Box 
913/41 



Notebook on a course in finite differences,
probabilities, and statistics, 19461947 




Proseminar, 19461948 




Notes on a course, 19461947 




Assorted notes, 19471951 




Laplace transforms, 1947 




Laplace transforms  Math 663, 19471948 




Laplace transforms vol. I, 19471948 




Laplace transforms vol. II, 19471948 




Laplace transforms vol. III, 19471951 




Partial differential equations of physics and
engineering  Stanford, 1948 




Proseminar, 1948 
Box 
4RM201 



Math 131, Advanced Calculus II [restricted], 19481949 
Box 
913/42 



Advanced calculus, 1949 




Functions of a real variable, 19491950, 1956 




Laplace transforms—Fourier integrals, 19501951 




Assorted problems, 19501961 




Partial differential equations—UCLA, 1951 




Real variables I, 19521953; 19621963 
Box 
4RM201 



Real Variables II [restricted], 19521953 
Box 
913/42 



Functions of real variables, 19521953 
Box 
4RM201 



Math 231 [restricted], 1954 
Box 
913/43 



Problem seminar, 19541960 




Linear transformations in Hilbert space, 19551956 




Divergent series, 1957 




Laplace transforms, 19571958 




Real variables, 19571958 




Besicovitch seminar, 19581959 




Proseminar, 19581959 
Box 
913/44 



Analysis seminar, StanfordLa Jolla, 19591968 




Problems of moments, 1959 




Proseminar, 19591960 




Number Theory, Summer Institute, University of South
Carolina, 1960 




Proseminar, 19601961 




Pisot, 19611962 




Erdös’ theorem ∫ (mn) = f(m) + f(n), 1961 




Real variables II, 19621963 




Math 320, 19621963 




Numerical analysis, 1966, undated 




Convexity course, 1967 
Box 
913/45 



UW mathematics 115, elementary course, 1971 




Number theory  Math 488, 1977 




Number Theory  U.S. Military Academy  West Point,
1978 




Courant F.L. paper, undated 




Convexity course, undated 




Complex variables, undated 




Nontechnical assignments, undated 




Seminar problems, undated 




Seminar problems, undated 




Special topics, undated 




Math 130, solution to problems, undated 




Complex variables, undated 



Lectures by Schoenberg 




Probability, 19381939 




On smoothing interpolation with special reference to
punched card computing methods, 1945 
Box 
913/46 



Partial differential equations  National Bureau of
Standards, 1951 




Cal Tech, 1957 




Number theory, 19591960 




Notes for a lecture, 1961 




Clay [?], 19631967 




Swarthmore, 19641966 




Splines and histograms, 19641972 




Report on the International Congress of
Mathematicians—Moscow, 1966 




Landau problem lecture [0, +∞], 1970 




On quadrature formulae of Chebyshev and Gauss which
are optimal in the series [?] by Sand, 19761985 
Box 
91/47 



Rome, undated 



Lectures by others 




Karlin, S. “Integral equations and total [?]
stochastic processes,” 19561957 




Loewner, Charles 





“Advanced matrix theory,” 1957 





“On generation of monotonic transformations of
higher order by infinitesimal transformations,” 1962 





“On semigroups in analysis and geometry,”
1962 




Loewner, K., “Theory of matrices,” 19561957 




Number Theory Institute I, 1961 




Number Theory institute II, 19611962 




Number Theory Institute III, 19611962 
Box 
913/48 



Pólya, George, “Notes on aspects of calculus,”
1955 




Wielandt, H., “Topics in analytic theory of matrices,”
1967 




Weyl, Herman, “Continuous groups,” 19331934 



Writings by others 




Alsina, James, “The Peano curve of Schoenberg is
nowhere differentiable,” 1980 




Cavaretta, Alfred 





“An elementary proof of Kolmogorov’s theorem,”
undated 





“A theorem of Bernstein type for periodic spline
functions,” undated 





“On cardinal perfect splines of least sup normal on
the real axis [three copies],” 1970 





“Oscillatory and zero properties for perfect splines
and monosplines,” undated 




Gabai, Hyman, “Mathematical implications and other
poems,” undated 




Goodman, A.W., “Notes on the IlievSendov problem,”
undated 




Greville, T.N.E., "The spline interpolation of
sequences satisfying a linear recurrence relation," undated 




Gurney, Ronald, “Selected extracts from some of the
letters sent to Natalie Gurney by personal friend and scientific colleagues of
her husband, Ronald W. Gurney, after his sudden death in New York, April
14, 1953, undated 




Istratescu, Vaile Ion, “On a conjecture concerning the
zeroes of polynomials,” undated 




IYuan, Houng, “On the degree of convergence of best
least square approximation by spline functions,” 19721973 




Marsden, Martin 





“Operator bounds and error bounds for quadratic
spline interpolation,” undated 





“A proposal for the support of a project entitled
approximation theory and functional analysis,” undated 




Miller, Michael J., “On Ilief’s conjecture and the
geometry of polynomials,” 1984 
Box 
913/49 



Newman, D.J., “Some remarks on the convergence of
cardinal splines,” undated 




Reddy, T. Ram, “A study of certain subclasses of
univalent analytic functions,” 1983 




Riemenscheider, S.D 





“Convergence of interpolating cardinal splines:
power growth,” undated 





“Convergence results for cardinal hermite splines,”
1976 




Schur, I., “On algebraic equations whose roots possess
only negative real parts,” 1921 




Tzimbalario, Jean 





"Rational approximation to xª," undated 





Lebesgue constants for cardinal Lspline
interpolation, undated 




Wall, Charles, “Density bounds for Jordan’s totient,”
19711972 




Wang, A.H. and R.L. Klein, “A numerical method to
obtain optimal quadrature formulas,” 1977 




Weinert, Howard and Gursharan Sidhu, “A stochastic
framework for recursive computation of spline functions—part I: interpolating
splines,” undated 




Wolfe, Dorothy, “A minimal point of a finite metric
set,” undated 



Reprints 




AlCo, 19431979 




CuKl, 19001976 




KrMeir, 19061980 




MeirSagan, 19391986 
Box 
913/50 



SharmaVan, 19241976 















box 
3W111 

Photographs 



Family photographs, circa 1938 



Luny and Jolanthe, Haifa, 1952 



Symposium on inequalities, 1965 



Sharma, Tim Goodman, and S. L. Lee, 1986 



West Point [?], undated 



Trip to the zoo, undated 



Michigan State University mathematics department, undated 



Unidentified photographs, undated 
